en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

p(x)=x^6-11x^5+30x^4

Solution

p (x) = x^{6} - 11 x^{5} + 30 x^{4}

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq \frac{5 5 ^{6} - 99272800 145 - 27190564625}{2985984}

X Intercepts : (0, 0), (5, 0), (6, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (0, 0), Maximum (\frac{55 - 145}{12}, \frac{5 5 ^{6} + 99272800 145 - 27190564625}{2985984}), Minimum (\frac{55 + 145}{12}, \frac{5 5 ^{6} - 99272800 145 - 27190564625}{2985984})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{5 5 ^{6} - 99272800 145 - 27190564625}{2985984}, \infty)

Solution steps

Domain of

x^{6} - 11 x^{5} + 30 x^{4} : - \infty < x < \infty

Range of

x^{6} - 11 x^{5} + 30 x^{4} : f (x) \geq \frac{5 5 ^{6} - 99272800 145 - 27190564625}{2985984}

Axis interception points of

x^{6} - 11 x^{5} + 30 x^{4} :

X Intercepts

: (0, 0), (5, 0), (6, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x^{6} - 11 x^{5} + 30 x^{4} :

None

Extreme Points of

x^{6} - 11 x^{5} + 30 x^{4} :

Minimum

(0, 0),

Maximum

(\frac{55 - 145}{12}, \frac{5 5 ^{6} + 99272800 145 - 27190564625}{2985984}),

Minimum

(\frac{55 + 145}{12}, \frac{5 5 ^{6} - 99272800 145 - 27190564625}{2985984})

Graph

Popular Examples

f(x)=x(x+2)(x-2)

f(x)=(x^3)/(x^3+1)

f(x)=(x-1)/(2x+1)

Frequently Asked Questions (FAQ)

What is the p(x)=x^6-11x^5+30x^4 ?
The p(x)=x^6-11x^5+30x^4 is